A note on characterization of higher derivations and their product
عنوان مقاله: A note on characterization of higher derivations and their product
شناسه ملی مقاله: JR_KJMMRC-13-1_026
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_KJMMRC-13-1_026
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Sayed Khalil Ekrami - Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran
خلاصه مقاله:
Sayed Khalil Ekrami - Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran
There exists a one to one correspondence between higher derivations \{d_n\}_{n=۰}^\infty on an algebra \mathcal{A} and the family of sequences of derivations \{\delta_n\}_{n=۱}^\infty on \mathcal{A}. In this paper, we obtain a relation that calculates each derivation \delta_n (n \in \mathbb{N}) directly as a linear combination of products of terms of the corresponding higher derivation \{d_n\}_{n=۰}^\infty. Also, we find the general form of the family of inner derivations corresponding to an inner higher derivation. We show that for every two higher derivations on an algebra \mathcal{A}, the product of them, is a higher derivation on \mathcal{A}. Also, we prove that the product of two inner higher derivations, is an inner higher derivation.
کلمات کلیدی: derivation, higher derivation, inner higher derivation
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1821761/